Search a number
-
+
13132331000 = 2353292411879
BaseRepresentation
bin11000011101011111…
…10111011111111000
31020220012210112110122
430032233313133320
5203343334043000
610011035232412
7643300654205
oct141657673770
936805715418
1013132331000
115629949718
122665ba8708
131313925479
148c8174cac
1551cd91085
hex30ebf77f8

13132331000 has 128 divisors (see below), whose sum is σ = 31938192000. Its totient is φ = 5048064000.

The previous prime is 13132330957. The next prime is 13132331027. The reversal of 13132331000 is 13323131.

It is a super-2 number, since 2×131323310002 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13132331000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6988061 + ... + 6989939.

It is an arithmetic number, because the mean of its divisors is an integer number (249517125).

Almost surely, 213132331000 is an apocalyptic number.

13132331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15969096000).

13132331000 is an abundant number, since it is smaller than the sum of its proper divisors (18805861000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13132331000 is a wasteful number, since it uses less digits than its factorization.

13132331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13132331000 its reverse (13323131), we get a palindrome (13145654131).

The spelling of 13132331000 in words is "thirteen billion, one hundred thirty-two million, three hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 241 250 290 482 500 580 725 964 1000 1160 1205 1450 1879 1928 2410 2900 3625 3758 4820 5800 6025 6989 7250 7516 9395 9640 12050 13978 14500 15032 18790 24100 27956 29000 30125 34945 37580 46975 48200 54491 55912 60250 69890 75160 93950 108982 120500 139780 174725 187900 217964 234875 241000 272455 279560 349450 375800 435928 452839 469750 544910 698900 873625 905678 939500 1089820 1362275 1397800 1747250 1811356 1879000 2179640 2264195 2724550 3494500 3622712 4528390 5449100 6811375 6989000 9056780 10898200 11320975 13132331 13622750 18113560 22641950 26264662 27245500 45283900 52529324 54491000 56604875 65661655 90567800 105058648 113209750 131323310 226419500 262646620 328308275 452839000 525293240 656616550 1313233100 1641541375 2626466200 3283082750 6566165500 13132331000